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Figure 1.

Cartoon representation of the canonical MAPK signaling pathway.

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Table 1.

State Variables of the MAPK cascade.

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Table 2.

Parameter listing for model (1).

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Figure 2.

Cartoon representation of the yeast scaffold-MAPK signaling complex.

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Figure 3.

Schematic of activation and deactivation processes in the yeast scaffold-MAPK signaling complex.

Names are as given in table 3, with the star representing phosphorylated (and thus active) Fus3. Horizontal arrows represent phosphorylation/dephosphorylation events (P to D and vice versa and inactive Fus3 to active Fus3 and vice versa), while transitions from the inner layer to the membrane layer are binding reactions ( and ).

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Table 3.

State variables for model 2.

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Table 4.

Parameter listing for model (2).

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Figure 4.

Dependence of the Hill coefficient on Michaelis-Menton binding constants in the canonical MAPK pathway.

(left) Spread of Hill coefficients calculated from model (1). Exponents for binding and kinetic constants for MAPK and MAPKK were drawn from a uniform (−3,3) distribution. (right) Representative Hill plots for model (1). Kinetic constants are . Lines represent (diamonds), (squares), and (circles).

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Figure 5.

Distribution of Hill coefficients of model 2 given binding constants (, ) with uniform log distributions.

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Figure 6.

Signal response of the scaffold-MAPK complex in the presence () or absence () of constitutive binding.

Plots represent slow (, left panel) or fast (, right panel) scaffold-membrane association rates.

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Figure 7.

Signal response of the scaffold-MAPK complex as a function of scaffold-membrane binding and alignment rate.

(left) Representative Hill plots for (dashed) and (solid). (right) Dependence of the Hill coefficient on . All other parameters as in table 4.

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Figure 8.

Dependence of ultrasensitive output response on cytosolic phosphorylation of scaffolds.

Plots of Hill coefficient as a function of are shown for cytosolic rate control parameter = 0 (circles), 0.1 (squares) and 1 (diamonds).

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Figure 9.

Schematic representation of signal transduction with constitutive MAPKKK activity in the absence (left) and presence (right) of scaffold.

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Figure 10.

Schematic representation of yeast pheromone signal transduction with proper (left) and abrogated (right) Fus3-Ste5 interaction.

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Figure 11.

Abrogation of Fus3-scaffold interaction can lead to loss of ultrasensitive Fus3 response.

Wild-type (solid, , total activated scaffold) and Fus3-less (dashed, , free active Fus3) scaffold system responses are plotted for .

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